Local well-posedness and blow-up for a family of U(1)-invariant peakon equations

Authors

Stephen C. Anco
Huijun He
Zhijun Qiao, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

2-25-2021

Abstract

The Cauchy problem for a unified family of integrable U(1)-invariant peakon equations from the NLS hierarchy is studied. As main results, local well-posedness is proved in Besov spaces, and blow-up is established through use of an L 1 conservation law.

Comments

Original published version available at https://doi.org/10.1016/j.jde.2020.11.008

Recommended Citation

Anco, Stephen, Huijun He, and Zhijun Qiao. "Local well-posedness and blow-up for a family of U (1)-invariant peakon equations." Journal of Differential Equations 275 (2021): 757-789. https://doi.org/10.1016/j.jde.2020.11.008

Publication Title

Journal of Differential Equations

DOI

https://doi.org/10.1016/j.jde.2020.11.008